--- title: 02d Flow Datasets keywords: fastai sidebar: home_sidebar summary: "Here be the tailored datasets for FRED! In addition to storing points, we must store a graph, and intelligently sample from the graph so that batches preserve 'flow neighborhoods'" description: "Here be the tailored datasets for FRED! In addition to storing points, we must store a graph, and intelligently sample from the graph so that batches preserve 'flow neighborhoods'" nb_path: "02d Flow Datasets.ipynb" ---
As previously listed, this is our preprocessing pipeline.
Dataloader with minibatch X and subgraph A of each batch.0-3 are handled by separate functions. This notebook calls upon these functions, and implements the machinery for 4 and 5
FRED can operate on both directed graphs (assumed to be sampled from a manifold with flow, ala the "Manifold with Flow" hypothesis) and pointclouds with associated velocity vectors (like RNA velocity single cell data). Each type is processed differently, and requires a different dataset class.
class ManifoldWithVectorField[source]
ManifoldWithVectorField(X,velocities,labels,sigma='automatic',prior_embedding='diffusion map',t_dmap=1,dmap_coords_to_use=2,n_neighbors=5,minibatch_size=100,nbhd_strategy='flow neighbors') ::Dataset
Dataset object to be used with FRED for pointcloud and velocity input data. Takes np.arrays for X (points) and velocities (velocity vectors per point). For each item retrieved, returns a neighborhood around that point (based on local euclidean neighbors) containing local affinities
from FRED.datasets import directed_swiss_roll_delayed
X, flow, labels = directed_swiss_roll_delayed(num_nodes=1000)
ds = ManifoldWithVectorField(X, flow, labels)
Set sigma = 2.3770864
for data in ds:
print(data)
{'P': tensor([[4.0173e-02, 2.0302e-01, 1.4001e-01, ..., 3.0227e-06, 7.4944e-05,
9.0509e-05],
[5.7301e-03, 4.8314e-02, 1.7639e-01, ..., 3.6155e-06, 1.1521e-04,
1.3691e-04],
[3.7528e-03, 5.3394e-03, 5.2184e-02, ..., 5.4380e-06, 2.1628e-04,
2.7195e-04],
...,
[4.0596e-05, 3.4174e-05, 3.4960e-05, ..., 5.3405e-01, 4.7545e-05,
5.5604e-05],
[9.8737e-07, 9.0580e-07, 8.7754e-07, ..., 1.1897e-05, 4.3833e-03,
1.0262e-05],
[6.1747e-06, 5.9572e-06, 6.7358e-06, ..., 3.8245e-04, 1.7551e-01,
3.5869e-02]]), 'X': tensor([[ 0.1206, -4.7363, 8.7103],
[ 0.6952, -4.8060, 8.8976],
[ 1.7228, -4.7575, 8.3396],
[ 0.9074, -4.8139, 8.1674],
[ 2.1120, -4.6818, 8.6144],
[ 2.1504, -4.6726, 8.7908],
[ -8.0750, -6.0072, -5.8267],
[ -6.4002, -8.1048, -0.9108],
[ -0.0410, 7.8591, 9.3457],
[ -9.4748, -0.7765, -5.6695],
[ -8.0330, -6.0765, 6.7945],
[ 6.3516, 0.6425, 0.3425],
[ 3.2701, 6.6338, 9.9209],
[ 6.1685, 12.1979, -6.2473],
[ 8.3791, 10.5409, 5.5590],
[ 4.5954, 13.0099, -4.4439],
[ 10.4994, -5.9193, -7.5153],
[ -8.5900, 2.9767, 7.4811],
[ 5.6672, -1.8631, 8.1020],
[ 12.1588, 4.3364, -8.0867],
[ 2.0547, 7.2957, -1.9343],
[ -4.0868, 7.2981, 8.1874],
[ 10.2712, 8.3707, -4.9743],
[ -7.9298, 4.1367, -3.9773],
[ -9.0961, 1.6529, 3.1553],
[ 6.1989, -9.7591, 0.8289],
[ 9.2811, -7.4336, 5.1771],
[ 2.5318, 13.7231, 6.3692],
[ 8.5093, -8.1764, -3.2381],
[ 6.2535, -0.1709, -9.4102],
[ 5.0190, 4.9705, -7.9752],
[ 1.5383, -11.0274, -4.9666],
[ -3.2486, 7.5925, -1.3719],
[ 10.8670, -5.3428, -2.8637],
[ 6.1575, 12.2046, 3.3257],
[ 2.2373, -4.6506, -1.7334],
[ 11.9936, -2.8677, 6.0614],
[ 6.3460, 1.4252, 1.2291],
[ 12.5717, 1.9266, 7.4903],
[ -6.3306, 5.9272, 5.6935],
[ 4.3523, -10.5232, 8.2138],
[ -9.4501, -1.7133, 2.2980],
[ -7.0120, 5.2825, 7.7762],
[ 6.8093, -9.4178, 8.4244],
[ -9.4671, -0.5553, 0.1117],
[ 6.0073, 3.0986, 6.7937],
[ -7.3446, 4.9113, -5.9356],
[ 12.2311, -2.0445, 1.3545],
[ -6.1914, -8.2997, 8.5380],
[ 4.0457, -3.7737, -0.4704],
[ -8.0750, -6.0072, -5.8267],
[ -9.4505, -1.7081, -0.7039],
[ -9.1960, -3.2964, 1.6921],
[ 4.5800, 5.5034, -3.9432],
[ 6.3587, 1.1596, -3.6629],
[ 6.2905, 1.9366, 2.1169],
[ 11.1085, -4.9204, 0.0736],
[ 5.9526, 3.2525, -4.3821],
[ 5.1861, 4.7361, -3.7312],
[ -5.0943, -9.1682, 0.5073],
[ 2.7590, 13.6621, 9.4496],
[ 11.9641, -2.9568, 7.7211],
[ 5.1890, 4.7318, 0.9515],
[ -5.7347, -8.6908, 9.2878],
[ -7.4807, 4.7463, 2.0616],
[ 2.1379, -4.6757, 6.4981],
[ 6.0345, 3.0175, -1.4424],
[ 6.0140, -1.0661, -2.5040],
[ 2.4572, 7.1085, 7.7376],
[ -7.5720, 4.6310, 2.1717],
[ 5.6093, -1.9705, 6.4807],
[ 11.7162, 5.6728, -8.9372],
[ -6.4822, -8.0252, -3.8983],
[ 2.0039, 7.3173, -1.5885],
[ -1.6334, -10.7207, 7.1397],
[ 6.3497, 1.3680, -1.9076],
[ 6.3606, 0.9204, 3.2525],
[ 12.6000, 1.3839, -3.2992],
[ 11.5935, 5.9740, -4.3952],
[ 11.7418, 5.6070, -1.4192],
[ 6.1372, 2.6726, -6.7885],
[ 0.6933, 7.7336, 2.1179],
[ 6.3200, 0.2690, 1.5900],
[ 11.7418, 5.6070, -1.4192],
[ 3.3839, -4.1966, 8.3574],
[ -1.5408, 7.8978, 5.3470],
[ 9.5203, 9.3483, 5.8781],
[ 5.8979, 3.3958, -3.8713],
[ 6.0073, 3.0986, 6.7937],
[ -9.3384, -2.6161, -4.7630],
[ 0.9659, -4.8144, -0.9594],
[ 5.3860, -2.3418, 1.0826],
[ 4.1348, 5.9514, -0.8856],
[ 6.1222, -0.7261, 8.8204],
[ -9.0961, 1.6529, 3.1553],
[ 1.5653, 13.9377, 4.1773],
[ 5.7151, -1.7700, 3.1542],
[ -1.6275, -10.7221, 3.2376],
[ 1.8719, 7.3713, -3.7465],
[ 11.9936, -2.8677, 6.0614],
[ 5.5294, -2.1106, 9.0626],
[ -9.4524, -1.6813, -6.6862],
[ -6.9838, -7.4965, 0.9796],
[ -0.2586, 7.8825, -9.9840],
[ 9.0051, 9.9234, 5.4411],
[ 11.1469, 6.9237, 1.6160]]), 'num flow neighbors': 5, 'precomputed_distances': tensor([[0.0000, 0.0183, 0.0397, ..., 1.0319, 0.4221, 0.4737],
[0.0183, 0.0000, 0.0250, ..., 1.0408, 0.4039, 0.4658],
[0.0397, 0.0250, 0.0000, ..., 1.0334, 0.3858, 0.4422],
...,
[1.0319, 1.0408, 1.0334, ..., 0.0000, 1.2644, 0.8532],
[0.4221, 0.4039, 0.3858, ..., 1.2644, 0.0000, 0.4443],
[0.4737, 0.4658, 0.4422, ..., 0.8532, 0.4443, 0.0000]]), 'neighbors': tensor([[0., 0., 0., 0., 0.],
[1., 2., 3., 4., 5.]]), 'labels': array([ 4.73784222, 4.85603886, 5.05981914, 4.89869205, 5.13616224,
5.14371005, 10.06437598, 10.32715715, 7.85919687, 9.50654967,
10.07238463, 6.38399789, 7.39599986, 13.66896739, 13.46553623,
13.79762415, 12.05300943, 9.09119351, 5.96556248, 12.9089559 ,
7.57946459, 8.36445758, 13.25017211, 8.94395628, 9.24501829,
11.56146873, 11.89105259, 13.95472331, 11.80092578, 6.25586297,
7.06372172, 11.1341798 , 8.25828409, 12.10942412, 13.66991027,
5.16077764, 12.33167382, 6.50409372, 12.71843462, 8.67227386,
11.38774149, 9.60412735, 8.77913428, 11.62158554, 9.48337063,
6.7593917 , 8.8353674 , 12.40074901, 10.35464916, 5.53255882,
10.06437598, 9.60359158, 9.76896904, 7.15990676, 6.46356806,
6.58184474, 12.1494023 , 6.78325151, 7.02326515, 10.48840476,
13.93790235, 12.32408516, 7.02253235, 10.412299 , 8.85939626,
5.14124612, 6.74686071, 6.10774544, 7.52117132, 8.87587457,
5.94535529, 13.01728313, 10.31613269, 7.58668144, 10.84437705,
6.49538841, 6.42689705, 12.67576792, 13.04217487, 13.01187484,
6.69389431, 7.76457095, 6.32572323, 13.01187484, 5.39098669,
8.04664886, 13.3426541 , 6.80559669, 6.7593917 , 9.69792513,
4.91038884, 5.87305005, 7.24677664, 6.16512856, 9.24501829,
14.02532758, 5.98285319, 10.84493732, 7.60529892, 12.33167382,
5.91854397, 9.60080639, 10.24557047, 7.88677538, 13.40024224,
13.12218013])}
{'P': tensor([[4.9490e-02, 1.5156e-01, 1.3517e-01, ..., 2.1036e-03, 6.0857e-05,
3.0897e-05],
[3.4654e-03, 5.6177e-02, 2.6353e-02, ..., 6.2701e-04, 4.8607e-05,
2.8119e-05],
[4.9679e-03, 5.4702e-02, 7.0618e-02, ..., 1.0231e-03, 7.1857e-05,
4.5569e-05],
...,
[6.7935e-04, 1.7123e-03, 2.2919e-03, ..., 1.5085e-02, 1.3171e-06,
1.0505e-06],
[5.6071e-04, 2.1301e-04, 2.8238e-04, ..., 3.6791e-04, 2.9155e-02,
5.6511e-04],
[1.2404e-04, 5.3041e-05, 7.6161e-05, ..., 8.7878e-05, 2.9782e-02,
2.8419e-02]]), 'X': tensor([[ 0.1532, -4.7422, -7.0145],
[ 2.0899, -4.6870, -7.4260],
[ 1.9503, -4.7172, -6.2313],
[ 0.8700, -4.8132, -7.8042],
[ 3.1480, -4.3165, -7.8002],
[ 3.2990, -4.2415, -7.4857],
[ -6.8618, -7.6322, 3.7027],
[ -7.5401, 4.6718, 9.0033],
[ 5.9003, 12.3550, 2.1917],
[ -0.8675, -10.8815, 6.8561],
[ 5.8979, 3.3958, -3.8713],
[ -9.1795, -3.3623, 8.5259],
[ 3.8182, -3.9347, -1.7961],
[ -5.2752, -9.0409, -8.2568],
[ 9.5261, -7.1675, 1.4206],
[ 0.9445, 7.6736, 0.5095],
[ -0.0410, 7.8591, 9.3457],
[ 5.4732, -2.2041, -4.3830],
[ -8.8154, 2.4611, 2.5198],
[ -8.3900, 3.3727, 3.1650],
[ -9.4624, -0.4633, -7.3918],
[ 12.6035, 0.7494, 7.1536],
[ 6.2365, -0.2578, -6.0212],
[ -8.6801, 2.7809, -0.8443],
[ 0.5600, -11.0321, -0.8660],
[ 4.7544, -3.1425, -1.5315],
[ 0.9967, -4.8144, -9.7370],
[ 5.6523, 3.9443, -2.9449],
[ 0.9074, -4.8139, 8.1674],
[ 12.2435, 4.0076, 8.1257],
[ 6.0305, 3.0296, 0.1375],
[ 0.6142, 14.0802, 0.5407],
[ 6.2419, -0.2313, 4.2440],
[ 0.3715, -4.7756, 0.2312],
[ 12.4901, -0.7052, 1.7315],
[ -2.6735, -10.4062, -1.5911],
[ 4.0642, -3.7599, -3.4565],
[ -3.9508, -9.8515, 1.7923],
[ -7.5603, 4.6459, 8.2002],
[ 6.9693, -9.3200, -8.3822],
[ 3.9663, 6.1018, -5.4104],
[ -7.3470, -7.0615, 5.0066],
[ 6.3606, 0.9204, 3.2525],
[ 6.1730, -0.5375, -8.8861],
[ -7.4808, 4.7462, 2.0266],
[ -4.2040, 7.2486, 2.9875],
[ 3.1892, -10.8220, -6.8409],
[ -9.0574, 1.7801, 8.8986],
[ -6.3306, 5.9272, 5.6935],
[ -9.3705, 0.4208, -3.5815],
[ 11.8951, -3.1570, 7.0742],
[ -8.9606, -4.0994, 1.7886],
[ 5.8318, 3.5567, -4.7692],
[ 8.3791, 10.5409, 5.5590],
[ 7.9141, -8.6656, 9.6948],
[ -5.6792, -8.7352, 4.0318],
[ 11.2767, -4.6006, 0.7868],
[ 4.9337, 12.8566, -3.6582],
[ 6.5428, -9.5728, -2.9897],
[ 6.2036, 2.4030, -1.2500],
[ -0.3432, 7.8900, 7.1805],
[ 6.0467, -9.8369, -6.5816],
[ 6.0955, 2.8210, -4.3321],
[ -9.4735, -0.7274, -2.6749],
[ -8.5607, -5.0938, -5.4531],
[ 9.0424, -7.6779, -7.5286],
[ 6.1685, 12.1979, -6.2473],
[ 2.7558, -4.4844, 0.0636],
[ 0.3724, 7.7974, -6.8722],
[ 2.7685, -10.8982, -6.8928],
[ 9.3560, 9.5391, 9.4943],
[ 5.0506, 4.9277, -9.5094],
[ -2.5056, 7.7720, 5.5878],
[ -7.8280, 4.2848, -7.1955],
[ -6.8466, -7.6488, 1.9648],
[ 4.5325, -3.3643, 6.7699],
[ 6.3413, 0.4883, -6.8416],
[ -5.1369, 6.7755, 8.3836],
[ 11.3800, -4.3919, 1.4066],
[ 11.7418, 5.6070, -1.4192],
[ -0.8885, 7.9160, 0.0571],
[ 11.5198, -4.0923, 5.5088],
[ 6.2576, 2.1359, -3.3398],
[ 11.5083, -4.1177, 0.2389],
[ 11.9695, -2.9407, -6.3498],
[ 2.1771, -10.9776, -3.2007],
[ 1.7218, -4.7576, -3.3617],
[ 1.7659, 7.4127, 4.7871],
[ 2.3889, -4.6082, -8.7291],
[ 3.3167, 6.6022, 6.3554],
[ 12.2328, -2.0376, -1.1234],
[ -9.2373, -3.1225, -8.9763],
[ -9.3107, -2.7697, -3.2919],
[ 0.2480, -11.0153, -3.0183],
[ 3.2226, -4.2802, -4.0428],
[ 2.3490, -4.6199, -4.2489],
[ -9.4159, -2.0739, 9.6841],
[ 5.9883, 3.1536, 6.2320],
[ -8.0534, -6.0429, 2.4583],
[ -9.4766, -1.1116, -2.1706],
[ -8.6801, 2.7809, -0.8443],
[ 12.5123, -0.5339, -1.0728],
[ 3.1756, -10.8247, 6.8882],
[ 0.2480, -11.0153, -3.0183],
[ -8.8058, 2.4850, -1.7425],
[ -7.5720, 4.6310, 2.1717]]), 'num flow neighbors': 5, 'precomputed_distances': tensor([[0.0000, 0.0558, 0.0430, ..., 0.5594, 0.7104, 0.7581],
[0.0558, 0.0000, 0.0434, ..., 0.6129, 0.7656, 0.8109],
[0.0430, 0.0434, 0.0000, ..., 0.5960, 0.7433, 0.7742],
...,
[0.5594, 0.6129, 0.5960, ..., 0.0000, 0.1784, 0.4564],
[0.7104, 0.7656, 0.7433, ..., 0.1784, 0.0000, 0.3600],
[0.7581, 0.8109, 0.7742, ..., 0.4564, 0.3600, 0.0000]]), 'neighbors': tensor([[0., 0., 0., 0., 0.],
[1., 2., 3., 4., 5.]]), 'labels': array([ 4.74468406, 5.13182506, 5.10444097, 4.89121805, 5.34250225,
5.37343173, 10.26327895, 8.87007495, 13.69162795, 10.91601655,
6.80559669, 9.77588801, 5.48276038, 10.46739073, 11.92133129,
7.73151309, 7.85919687, 5.90035324, 9.15253344, 9.04255655,
9.47369628, 12.62576026, 6.24187044, 9.11473391, 11.04629471,
5.69913817, 4.91652556, 6.89245352, 4.89869205, 12.88270018,
6.74872981, 14.09357547, 6.24614905, 4.79003361, 12.50996828,
10.74409834, 5.5366698 , 10.61417181, 8.8737556 , 11.63765273,
7.27759233, 10.19036081, 6.42689705, 6.19633139, 8.859416 ,
8.37954853, 11.28215429, 9.23071698, 8.67227386, 9.37989631,
12.30695098, 9.85384623, 6.83083863, 13.46553623, 11.73567759,
10.41909211, 12.17901033, 13.77075174, 11.59512194, 6.652742 ,
7.89745107, 11.54672755, 6.7166297 , 9.5014146 , 9.96152788,
11.86239961, 13.66896739, 5.26342203, 7.80625981, 11.24434374,
13.3614598 , 7.05627461, 8.16584537, 8.92395381, 10.26545792,
5.64464807, 6.36004393, 8.50268322, 12.19805394, 13.01187484,
7.96575782, 12.22503754, 6.61211224, 12.22276278, 12.32545637,
11.1913598 , 5.05963217, 7.62011734, 5.19065439, 7.38844703,
12.4013153 , 9.75075273, 9.71392179, 11.018084 , 5.35774573,
5.18277858, 9.64157461, 6.76791483, 10.06850677, 9.54154096,
9.11473391, 12.52372629, 11.28093507, 11.018084 , 9.14973319,
8.87587457])}
{'P': tensor([[5.0548e-02, 1.7541e-01, 1.2957e-01, ..., 4.8312e-04, 1.0174e-04,
8.5882e-05],
[5.1541e-03, 8.0280e-02, 2.2370e-02, ..., 1.3540e-03, 9.9172e-05,
9.6078e-05],
[3.3401e-03, 4.8566e-02, 3.4404e-02, ..., 4.4810e-04, 4.6866e-05,
4.5534e-05],
...,
[4.2873e-04, 3.0895e-04, 3.0374e-04, ..., 1.1806e-01, 1.5168e-03,
2.9359e-03],
[2.7011e-03, 1.0885e-03, 1.3625e-03, ..., 1.1705e-05, 3.5439e-02,
4.2109e-04],
[6.0415e-04, 2.4273e-04, 3.2145e-04, ..., 5.6731e-06, 1.2760e-01,
1.4571e-02]]), 'X': tensor([[ 0.1677, -4.7447, -6.1529],
[ 1.9503, -4.7172, -6.2313],
[ 1.5246, -4.7838, -5.2095],
[ 2.3373, -4.6232, -5.2246],
[ 2.0419, -4.6978, -5.0983],
[ 2.4356, -4.5942, -5.0808],
[ -6.8466, -7.6488, 1.9648],
[ 3.3943, 6.5483, 1.0790],
[ -1.0407, 7.9166, -6.6021],
[ 9.9750, -6.6338, -1.2440],
[ -0.7599, -10.8995, -6.0366],
[ -7.0253, -7.4493, -1.5978],
[ 12.4597, -0.9136, -4.8763],
[ 5.3118, 4.5452, 4.2114],
[ -3.3812, -10.1235, 7.4384],
[ 1.9204, 7.3518, 8.4781],
[ 6.1752, 2.5242, 3.5874],
[ 0.6952, -4.8060, 8.8976],
[ 5.4242, -10.1261, 3.9595],
[ 3.2647, -10.8066, -0.3768],
[ 4.3459, -3.5327, 0.3667],
[ 3.8182, -3.9347, -1.7961],
[ 2.6310, -10.9195, 3.8054],
[ 2.1120, -4.6818, 8.6144],
[ 6.9284, 11.7061, -0.3732],
[ 0.1931, -4.7491, 7.4385],
[ 3.6469, 6.3624, -1.8414],
[ 4.4915, 5.5990, 7.0405],
[ 7.7794, 11.0629, 8.9069],
[ 12.5763, 0.1333, -9.2650],
[ -9.4735, -1.2620, -3.6742],
[ -9.4753, -0.8012, -5.2050],
[ -9.3076, 0.7852, -6.7010],
[ -7.3554, 4.8985, -0.6665],
[ 11.7779, 5.5127, -2.0699],
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4.91296205, 6.54693987, 13.68672855, 12.77402351, 10.68416401,
5.37343173, 13.5247215 , 9.23178204, 9.15253344, 12.18045978,
14.05687815, 11.63502679, 8.55982105, 7.44805901, 10.41909211,
7.4544866 , 7.57946459, 13.99877413, 13.45642379, 11.69264243,
5.24137909, 9.75401449, 12.4980845 , 13.13205357, 7.37576154,
8.47371868, 12.49317563, 7.18354885, 13.43127131, 6.89245352,
9.6282763 , 13.2430377 , 5.01114719, 6.34059021, 5.79562691,
6.78325151, 7.5984809 , 5.64500512, 8.89301516, 5.98285319,
7.32950385, 10.41909211, 10.88618114, 6.05113217, 13.99048094,
12.0495521 ])}
{'P': tensor([[1.4647e-01, 1.0793e-01, 1.0610e-01, ..., 1.2004e-03, 2.4085e-05,
1.4957e-05],
[4.7301e-05, 3.0546e-02, 3.8074e-02, ..., 1.1099e-04, 1.9310e-05,
4.7610e-05],
[6.0276e-05, 2.0318e-02, 4.1110e-02, ..., 1.5119e-04, 2.7962e-05,
6.0019e-05],
...,
[6.4641e-03, 2.9128e-02, 3.7600e-02, ..., 8.2664e-02, 3.6953e-04,
5.6547e-05],
[1.3579e-03, 1.2664e-03, 1.4558e-03, ..., 4.4682e-02, 6.2828e-02,
8.6173e-05],
[2.1449e-04, 5.5753e-04, 5.0492e-04, ..., 8.3604e-04, 1.7294e-03,
1.5102e-01]]), 'X': tensor([[ 4.1193e-01, 1.4102e+01, -4.1870e+00],
[-3.9700e+00, 7.3453e+00, -4.1486e+00],
[-4.0409e+00, 7.3169e+00, -3.5779e+00],
[-4.1296e+00, 7.2803e+00, -2.7194e+00],
[-5.2589e+00, 6.7024e+00, -5.5809e+00],
[-5.5525e+00, 6.5146e+00, -4.4984e+00],
[ 2.5010e+00, -4.5736e+00, -8.9890e-01],
[ 6.3633e-01, -1.1035e+01, 6.1414e+00],
[-3.3812e+00, -1.0123e+01, 7.4384e+00],
[ 1.0757e+01, 7.6212e+00, -2.3279e+00],
[-8.0608e+00, 3.9362e+00, -5.9567e+00],
[-9.4309e+00, -5.9902e-02, -4.0830e+00],
[ 6.2555e+00, 2.1474e+00, 4.1685e+00],
[ 1.2469e+01, -8.5278e-01, -9.3374e+00],
[-4.2271e+00, 7.2387e+00, -1.8316e+00],
[-1.1885e+00, -1.0821e+01, 8.6494e-02],
[ 1.0325e+01, 8.2928e+00, -3.0006e+00],
[-3.1671e+00, 7.6158e+00, 6.0765e+00],
[-9.2707e+00, 9.6612e-01, 4.4863e+00],
[ 1.3670e+00, -4.7990e+00, 3.2603e+00],
[ 7.1697e+00, 1.1534e+01, -7.2756e-01],
[ 4.4633e+00, 5.6287e+00, -7.7540e-01],
[ 5.8450e+00, -9.9356e+00, 3.0767e+00],
[ 1.1902e+01, -3.1379e+00, -3.4534e+00],
[-9.4157e+00, 8.2118e-02, -5.0025e+00],
[ 6.3236e+00, 3.0105e-01, -4.6668e+00],
[ 5.6414e+00, -1.0030e+01, 7.8525e+00],
[ 1.1474e+01, 6.2478e+00, -2.1100e+00],
[-8.9282e+00, 2.1648e+00, 8.4894e+00],
[-5.0550e+00, 6.8231e+00, -9.2502e+00],
[ 5.9526e+00, 3.2525e+00, -4.3821e+00],
[-1.7009e+00, 7.8851e+00, -8.2437e+00],
[ 6.1973e+00, -4.3723e-01, 6.5720e+00],
[ 8.5198e+00, 1.0409e+01, -8.6486e+00],
[ 1.1594e+01, 5.9740e+00, -4.3952e+00],
[ 9.6614e+00, 9.1784e+00, -1.2087e+00],
[ 4.7482e+00, -1.0391e+01, 5.9149e+00],
[ 4.2096e+00, 5.8815e+00, 1.9230e+00],
[ 1.1742e+01, 5.6070e+00, -1.4192e+00],
[ 6.3301e+00, 3.6378e-01, -7.5685e+00],
[-8.3717e+00, -5.4769e+00, -9.2228e+00],
[ 2.0937e+00, 1.3829e+01, -2.3533e+00],
[ 1.2520e+01, -4.7113e-01, 3.0436e+00],
[ 1.1470e+01, -4.2006e+00, 7.4086e+00],
[ 1.2004e+01, -2.8350e+00, 2.6864e+00],
[ 9.3560e+00, 9.5391e+00, 9.4943e+00],
[ 2.4572e+00, 7.1085e+00, 7.7376e+00],
[ 9.1409e+00, -7.5789e+00, 1.5814e+00],
[ 3.6817e+00, 6.3354e+00, 6.1233e+00],
[ 6.1066e+00, -7.7986e-01, -4.1746e+00],
[ 5.1667e+00, -2.6543e+00, 1.2879e+00],
[-8.1426e+00, 3.8048e+00, 9.3542e+00],
[ 5.6258e+00, -1.9404e+00, -6.0715e+00],
[ 3.4604e+00, -4.1545e+00, 1.8091e+00],
[ 3.4931e-01, -4.7727e+00, -6.5682e+00],
[ 2.6613e+00, 7.0021e+00, 4.5783e+00],
[ 1.1312e+01, 6.5957e+00, -4.5667e+00],
[ 1.2572e+01, 1.9266e+00, 7.4903e+00],
[ 4.2096e+00, 5.8815e+00, 1.9230e+00],
[ 9.9756e+00, -6.6330e+00, -3.3429e+00],
[ 1.7659e+00, 7.4127e+00, 4.7871e+00],
[ 1.1780e+01, -3.4697e+00, 3.5624e+00],
[-1.6257e-01, -1.0980e+01, 6.4629e+00],
[ 7.1441e+00, 1.1553e+01, 2.3232e+00],
[ 1.0506e+01, -5.9099e+00, -5.1599e+00],
[-1.2454e+00, 7.9127e+00, -5.7153e-01],
[-6.3231e-01, 7.9085e+00, -5.9544e+00],
[ 3.4931e-01, -4.7727e+00, -6.5682e+00],
[-8.5687e-01, 7.9156e+00, -6.5557e+00],
[-8.8058e+00, 2.4850e+00, -1.7425e+00],
[-7.2515e+00, 5.0195e+00, 4.6434e+00],
[ 1.2565e+01, 2.0132e+00, 4.6272e+00],
[-4.3415e-01, -1.0947e+01, 7.4509e+00],
[ 5.2911e+00, -2.4824e+00, -3.6877e+00],
[ 4.4049e+00, 5.6892e+00, -4.4394e+00],
[ 6.3569e+00, 7.5912e-01, 6.5011e+00],
[ 1.0391e+00, -4.8141e+00, -7.6827e-02],
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[-5.1369e+00, 6.7755e+00, 8.3836e+00],
[ 4.7482e+00, -1.0391e+01, 5.9149e+00],
[ 1.2292e+01, -1.7902e+00, -4.0870e+00],
[ 2.5636e+00, -1.0929e+01, 9.6519e+00],
[ 6.8407e+00, 1.1767e+01, 3.0045e+00],
[-6.2668e+00, 5.9808e+00, 2.5614e+00],
[ 1.6232e+00, -4.7717e+00, -2.5655e+00],
[-3.7089e+00, 7.4434e+00, -1.7881e-03],
[-8.8540e+00, -4.3971e+00, -5.2144e+00],
[ 1.4973e-01, 7.8334e+00, -5.4412e+00],
[ 4.9452e+00, -1.0319e+01, -7.8621e+00],
[ 3.4009e+00, -4.1874e+00, -5.9751e+00],
[ 7.1441e+00, 1.1553e+01, 2.3232e+00],
[ 5.1203e+00, -2.7151e+00, 6.2110e+00],
[-8.1905e+00, 3.7253e+00, 4.1175e+00],
[ 1.2469e+01, -8.5278e-01, -9.3374e+00],
[-7.6734e+00, 4.4980e+00, -5.4248e+00],
[ 8.5198e+00, 1.0409e+01, -8.6486e+00],
[ 7.6853e-01, -4.8098e+00, -2.9310e+00],
[ 4.2096e+00, 5.8815e+00, 1.9230e+00],
[ 6.3200e+00, 2.6900e-01, 1.5900e+00],
[-8.4549e-01, -1.0885e+01, -6.7400e+00],
[ 1.1895e+01, -3.1570e+00, 7.0742e+00],
[ 6.3124e+00, 2.0571e-01, -4.5926e-01],
[ 9.3607e+00, 9.5337e+00, -4.5412e+00],
[ 1.8766e+00, 7.3694e+00, 1.1887e+00],
[ 6.2022e+00, 2.4092e+00, 3.0349e+00],
[ 4.0421e+00, -3.7765e+00, -8.3631e+00]]), 'num flow neighbors': 5, 'precomputed_distances': tensor([[0.0000, 0.4997, 0.5066, ..., 0.4861, 0.5842, 0.1135],
[0.4997, 0.0000, 0.0361, ..., 0.4397, 0.6723, 0.4241],
[0.5066, 0.0361, 0.0000, ..., 0.4114, 0.6456, 0.4375],
...,
[0.4861, 0.4397, 0.4114, ..., 0.0000, 0.2362, 0.5108],
[0.5842, 0.6723, 0.6456, ..., 0.2362, 0.0000, 0.6475],
[0.1135, 0.4241, 0.4375, ..., 0.5108, 0.6475, 0.0000]]), 'neighbors': tensor([[0., 0., 0., 0., 0.],
[1., 2., 3., 4., 5.]]), 'labels': array([14.10796466, 8.34949383, 8.35856487, 8.36995953, 8.51928531,
8.55982105, 5.21280156, 11.05317597, 10.67322527, 13.18278606,
8.97052115, 9.43112957, 6.61386436, 12.4980845 , 8.38252937,
10.88618114, 13.2430377 , 8.24808832, 9.32094055, 4.98989906,
13.58101794, 7.18354885, 11.52733581, 12.30858677, 9.41605684,
6.33075682, 11.50791859, 13.06498554, 9.18690018, 8.49161154,
6.78325151, 8.06643487, 6.21275016, 13.45124917, 13.04217487,
13.32613445, 11.42420508, 7.23276582, 13.01187484, 6.34059021,
10.00410625, 13.98691426, 12.52875793, 12.21532282, 12.3344536 ,
13.3614598 , 7.52117132, 11.87412439, 7.32754882, 6.1561646 ,
5.80860165, 8.98765644, 5.9510489 , 5.40689332, 4.78544875,
7.49076899, 13.09426142, 12.71843462, 7.23276582, 11.97957425,
7.62011734, 12.27991991, 10.98076873, 13.58333857, 12.05395056,
8.01009083, 7.9337647 , 4.78544875, 7.96181288, 9.14973319,
8.81930525, 12.72524615, 10.95593729, 5.84450127, 7.19513806,
6.4020404 , 4.92497514, 10.74655346, 8.50268322, 11.42420508,
12.4217523 , 11.22596994, 13.6105595 , 8.66273171, 5.04028538,
8.31625171, 9.88571713, 7.83486943, 11.4424816 , 5.39450305,
13.58333857, 5.79562691, 8.99791316, 12.4980845 , 8.89458273,
13.45124917, 4.87083348, 7.23276582, 6.32572323, 10.91805683,
12.30695098, 6.31576264, 13.36092624, 7.60463349, 6.65368551,
5.53175275])}
Because we're handling batching in a, sahll we say, delicate way, the standard way of batching data doesn't work (without some downstream effort). In fact, we're treating each output element of the dataset as a batch by itself, so we can get nice behavior just by disabling batching entirely.
from torch.utils.data import DataLoader
dataloader = DataLoader(ds, batch_size=None)
for d in dataloader:
print(d["X"].type())
torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor 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torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor torch.FloatTensor 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dataloader_from_ndarray[source]
dataloader_from_ndarray(X,flow,labels)
dataloader.dataset.X
tensor([[ 0.1206, -4.7363, 8.7103],
[ 0.1532, -4.7422, -7.0145],
[ 0.1677, -4.7447, -6.1529],
...,
[ 0.6142, 14.0802, 0.5407],
[ 0.5175, 14.0910, 4.6540],
[ 0.4119, 14.1019, -4.1870]])